solve using Exact and Non-Exact DE
2. Solve the DE: (3x²y + cos x) dx +(x +e") dy = 0
Solve the exact differential equation (4 x y tsin x) dx + (x" - Y) dy = 0
explain please 2. Which one of the following DE is exact? a. (x+y)dx+(xy+1) dy=0 b (e + y)<x+ſe+x)dy = 0 c.(ye* +1) dx +(e' + xy) dy = 0 d. (sin x+cos y) dx +(cos x +sin y) dy = 0 e. (eº+1) dx +(e? + 2) dy = 0 3. The solution of the following separable DE xy' =-y? is a. y= '+c b. y=- c. y = In x+c In x+c d. In y=x? + e. yer+C 4....
dy 7. Determine the general solution to : x = x+y dx 8. Solve the DE (x - y)dx +(y – x)dy dy 9. Determine the general solution to : x? + 3xy = dx dy 10. Determine the general solution to : xy = 4x² + y2 dx 1 X
solve the exact differential equation (-2sin(x)-ysin(x)+2cos(x))dx+(cos(x))dy=0 where y(0)=5
show the ivp is an exact de and then solve (2xy - 9x^2)dx + (2y + x^2 + 1)dy = 0, y(0) = -3
Solve The Given Initial-Value Problem. The DE Is Homogeneous. (X + Yey/X) Dx ? Xey/X Dy = 0, Y(1) = 0
Solve the exact differential equation (4x*y+sinx)dx+(x4-y)dy=0.
Determine whether the equation is exact. If it is, then solve it. (3x²y+9) dx + (x3 - 6) dy = 0 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. = A. The equation is exact and an implicit solution in the form F(x,y) = C is _______ = C, where is an arbitrary constant.(Type an expression using x and y as the variables.) B. The equation is not exact.
1. Solve the following DE: dy 6 y = 3x3 dx x